382371834000 has 320 divisors, whose sum is σ = 1333454653440. Its totient is φ = 93706905600.

The previous prime is 382371833947. The next prime is 382371834001. The reversal of 382371834000 is 438173283.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 382371834000.

It is not an unprimeable number, because it can be changed into a prime (382371834001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17851297 + ... + 17872703.

It is an arithmetic number, because the mean of its divisors is an integer number (4167045792).

Almost surely, 2^382371834000 is an apocalyptic number.

382371834000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382371834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666727326720).

382371834000 is an abundant number, since it is smaller than the sum of its proper divisors (951082819440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382371834000 is a wasteful number, since it uses less digits than its factorization.

382371834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21675 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 382371834000 in words is "three hundred eighty-two billion, three hundred seventy-one million, eight hundred thirty-four thousand".